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Finding the Fourth Proportional to 10,861, 14,989.38 and 6,145.24

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Solution

The fourth proportional to 10,861, 14,989.38 and 6,145.24 is: 8,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861 : 14,989.38 = 6,145.24 : x
  2. Step 2: Convert to fraction form
    10,861/14,989.38 = 6,145.24/x
  3. Step 3: Cross multiply
    10,861x = 14,989.38 × 6,145.24
  4. Step 4: Simplify right side
    10,861x = 92,113,337.55
  5. Step 5: Solve for x
    x = 92,113,337.55/10,861
  6. Step 6: Final answer
    x = 8,481.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.